Answer:
Here's the answer and explanation:
1. The equation of the circle drawn above is:
(x - 0)^2 + (y - 0)^2 = 4^2
Explanation:
* The center of the circle is at the origin (0, 0).
* The radius of the circle is 4 units.
The standard equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Substituting the values from the image, we get the equation above.
2. Graph of the second circle with the equation (x - 2)^2 + (y + 4)^2 = 9:
(Image of the graph of the circle (x - 2)^2 + (y + 4)^2 = 9)
Explanation:
* The center of the circle is at (2, -4).
* The radius of the circle is 3 units.
To graph the circle, plot the center point (2, -4) and then count 3 units in all directions to find points on the circle. Connect these points to form the circle.
